765.5 is what percent of 990 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 990 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 990, so we can write it down as 100%=990.
4. We know, that x% equals 765.5 of the output value, so we can write it down as x%=765.5.
5. Now we have two simple equations:
1) 100%=990
2) x%=765.5
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=990/765.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 765.5 is what percent of 990

100%/x%=990/765.5
(100/x)*x=(990/765.5)*x       - we multiply both sides of the equation by x
100=1.2932723709993*x       - we divide both sides of the equation by (1.2932723709993) to get x
100/1.2932723709993=x
77.323232323232=x
x=77.323232323232

now we have:
765.5 is 77.323232323232% of 990